Real spectra for non-Hermitian Dirac equation in 1+1 dimensions with a most general coupling

Details Real spectra for non-Hermitian Dirac equation in 1+1 dimensions with a most general coupling Real spectra for non-Hermitian Dirac equation in 1+1 dimensions with a most general coupling

2009-03-23

arxiv.org/abs/0903.3930v1

Physics

Quantum Physics

11 pages

Scientific paper

The most general combination of couplings of fermions with external potentials in 1+1 dimensions, must include vector, scalar and pseudoscalar potentials. We consider such a mixing of potentials in a PT-symmetric time-independent Dirac equation. The Dirac equation is mapped into an effective PT-symmetric Schr\"{o}dinger equation. Despite the non-hermiticity of the effective potential, we find real energies for the fermion.

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